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Finding the Fourth Proportional to 419,394.93, 578,781.38 and 238,123.74

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Solution

The fourth proportional to 419,394.93, 578,781.38 and 238,123.74 is: 328,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,394.93 : 578,781.38 = 238,123.74 : x
  2. Step 2: Convert to fraction form
    419,394.93/578,781.38 = 238,123.74/x
  3. Step 3: Cross multiply
    419,394.93x = 578,781.38 × 238,123.74
  4. Step 4: Simplify right side
    419,394.93x = 137,821,589,613.70
  5. Step 5: Solve for x
    x = 137,821,589,613.70/419,394.93
  6. Step 6: Final answer
    x = 328,620.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.